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Finding the Fourth Proportional to 7,396.65, 10,211.57 and 4,877.82

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Solution

The fourth proportional to 7,396.65, 10,211.57 and 4,877.82 is: 6,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.65 : 10,211.57 = 4,877.82 : x
  2. Step 2: Convert to fraction form
    7,396.65/10,211.57 = 4,877.82/x
  3. Step 3: Cross multiply
    7,396.65x = 10,211.57 × 4,877.82
  4. Step 4: Simplify right side
    7,396.65x = 49,810,194.28
  5. Step 5: Solve for x
    x = 49,810,194.28/7,396.65
  6. Step 6: Final answer
    x = 6,734.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.